You've found a park, and are about to head out! Now the big question, what to wear?
Shoes
For most hikes, a good pair of running shoes are all you need. Make sure they fit well, and have cross-terrain soles (sorry, skate shoes just don't cut it on trails). For longer, more difficult hikes with more adverse terrain, a good pair of boots that offer ankle support is ideal. You can opt for lightweight hiking boots, or wear a pair of combat boots.
No matter how you do it, you're going to want to buy boots that are either waterproof, or quick-dry. You're eventually going to have to cross a stream, and walking around with boots full of water is just no fun!
Clothes
Dress to the terrain that you'll be hiking. If you're going up a mountain, pack a light jacket. You'll need to add layers as you go up in elevation. For more arid regions, breathable clothing is going to be key. Loose-fitting cargo pants and shorts are a good choice, as you can easily keep snacks, maps, and cameras in easy access.
Any article of clothing that is quick-dry or moisture-wicking (sporting or running gear) is ideal for hiking, as you'll probably work up a bit of a sweat.
Socks
On a long hike, socks become invaluable. You'll want to wear two layers of socks, a thin pair of moisture-wicking socks, then a pair of wool socks over those. This will prevent blisters from forming. If you're just going to wear running shoes, you might have to just wear a pair of moisture-wicking socks. Avoid wearing cotton socks, as they become like sandpaper on your feet over time! If you don't have any moisture-wicking socks, a pair of men's dress socks will work in a pinch.